{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "229b8341",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.stats.outliers_influence import variance_inflation_factor\n",
    "from scipy import stats\n",
    "\n",
    "# 设置中文显示\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "# 读取数据\n",
    "filepath = r'C:\\Users\\Huawei\\Desktop\\好一个大学\\课内学习\\大二下\\应用统计学\\hospital_infct.txt'\n",
    "data = pd.read_csv(filepath, sep='\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ff22026",
   "metadata": {},
   "source": [
    "### 多元线性回归模型\n",
    "> 该模型整体是显著的(p=1.09e-10)，可解释36.3%的感染风险变异(R²=0.363)\n",
    "其中住院天数最显著($/beta$ = 0.3082),但可能有多重共线性的问题（条件数1280）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2117ceeb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>OLS Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>        <td>InfctRsk</td>     <th>  R-squared:         </th> <td>   0.363</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                   <td>OLS</td>       <th>  Adj. R-squared:    </th> <td>   0.345</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>             <td>Least Squares</td>  <th>  F-statistic:       </th> <td>   20.70</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>             <td>Sat, 07 Jun 2025</td> <th>  Prob (F-statistic):</th> <td>1.09e-10</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                 <td>22:14:52</td>     <th>  Log-Likelihood:    </th> <td> -167.51</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Observations:</th>      <td>   113</td>      <th>  AIC:               </th> <td>   343.0</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Residuals:</th>          <td>   109</td>      <th>  BIC:               </th> <td>   353.9</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Df Model:</th>              <td>     3</td>      <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>      <td>nonrobust</td>    <th>                     </th>     <td> </td>   \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "    <td></td>       <th>coef</th>     <th>std err</th>      <th>t</th>      <th>P>|t|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>const</th> <td>    1.0012</td> <td>    1.315</td> <td>    0.761</td> <td> 0.448</td> <td>   -1.605</td> <td>    3.607</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Stay</th>  <td>    0.3082</td> <td>    0.059</td> <td>    5.189</td> <td> 0.000</td> <td>    0.190</td> <td>    0.426</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Age</th>   <td>   -0.0230</td> <td>    0.024</td> <td>   -0.978</td> <td> 0.330</td> <td>   -0.070</td> <td>    0.024</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Xray</th>  <td>    0.0197</td> <td>    0.006</td> <td>    3.414</td> <td> 0.001</td> <td>    0.008</td> <td>    0.031</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Omnibus:</th>       <td> 0.750</td> <th>  Durbin-Watson:     </th> <td>   1.881</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Omnibus):</th> <td> 0.687</td> <th>  Jarque-Bera (JB):  </th> <td>   0.823</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Skew:</th>          <td> 0.063</td> <th>  Prob(JB):          </th> <td>   0.663</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Kurtosis:</th>      <td> 2.601</td> <th>  Cond. No.          </th> <td>1.28e+03</td>\n",
       "</tr>\n",
       "</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.<br/>[2] The condition number is large, 1.28e+03. This might indicate that there are<br/>strong multicollinearity or other numerical problems."
      ],
      "text/latex": [
       "\\begin{center}\n",
       "\\begin{tabular}{lclc}\n",
       "\\toprule\n",
       "\\textbf{Dep. Variable:}    &     InfctRsk     & \\textbf{  R-squared:         } &     0.363   \\\\\n",
       "\\textbf{Model:}            &       OLS        & \\textbf{  Adj. R-squared:    } &     0.345   \\\\\n",
       "\\textbf{Method:}           &  Least Squares   & \\textbf{  F-statistic:       } &     20.70   \\\\\n",
       "\\textbf{Date:}             & Sat, 07 Jun 2025 & \\textbf{  Prob (F-statistic):} &  1.09e-10   \\\\\n",
       "\\textbf{Time:}             &     22:14:52     & \\textbf{  Log-Likelihood:    } &   -167.51   \\\\\n",
       "\\textbf{No. Observations:} &         113      & \\textbf{  AIC:               } &     343.0   \\\\\n",
       "\\textbf{Df Residuals:}     &         109      & \\textbf{  BIC:               } &     353.9   \\\\\n",
       "\\textbf{Df Model:}         &           3      & \\textbf{                     } &             \\\\\n",
       "\\textbf{Covariance Type:}  &    nonrobust     & \\textbf{                     } &             \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lcccccc}\n",
       "               & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]}  \\\\\n",
       "\\midrule\n",
       "\\textbf{const} &       1.0012  &        1.315     &     0.761  &         0.448        &       -1.605    &        3.607     \\\\\n",
       "\\textbf{Stay}  &       0.3082  &        0.059     &     5.189  &         0.000        &        0.190    &        0.426     \\\\\n",
       "\\textbf{Age}   &      -0.0230  &        0.024     &    -0.978  &         0.330        &       -0.070    &        0.024     \\\\\n",
       "\\textbf{Xray}  &       0.0197  &        0.006     &     3.414  &         0.001        &        0.008    &        0.031     \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "\\begin{tabular}{lclc}\n",
       "\\textbf{Omnibus:}       &  0.750 & \\textbf{  Durbin-Watson:     } &    1.881  \\\\\n",
       "\\textbf{Prob(Omnibus):} &  0.687 & \\textbf{  Jarque-Bera (JB):  } &    0.823  \\\\\n",
       "\\textbf{Skew:}          &  0.063 & \\textbf{  Prob(JB):          } &    0.663  \\\\\n",
       "\\textbf{Kurtosis:}      &  2.601 & \\textbf{  Cond. No.          } & 1.28e+03  \\\\\n",
       "\\bottomrule\n",
       "\\end{tabular}\n",
       "%\\caption{OLS Regression Results}\n",
       "\\end{center}\n",
       "\n",
       "Notes: \\newline\n",
       " [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \\newline\n",
       " [2] The condition number is large, 1.28e+03. This might indicate that there are \\newline\n",
       " strong multicollinearity or other numerical problems."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                            OLS Regression Results                            \n",
       "==============================================================================\n",
       "Dep. Variable:               InfctRsk   R-squared:                       0.363\n",
       "Model:                            OLS   Adj. R-squared:                  0.345\n",
       "Method:                 Least Squares   F-statistic:                     20.70\n",
       "Date:                Sat, 07 Jun 2025   Prob (F-statistic):           1.09e-10\n",
       "Time:                        22:14:52   Log-Likelihood:                -167.51\n",
       "No. Observations:                 113   AIC:                             343.0\n",
       "Df Residuals:                     109   BIC:                             353.9\n",
       "Df Model:                           3                                         \n",
       "Covariance Type:            nonrobust                                         \n",
       "==============================================================================\n",
       "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "const          1.0012      1.315      0.761      0.448      -1.605       3.607\n",
       "Stay           0.3082      0.059      5.189      0.000       0.190       0.426\n",
       "Age           -0.0230      0.024     -0.978      0.330      -0.070       0.024\n",
       "Xray           0.0197      0.006      3.414      0.001       0.008       0.031\n",
       "==============================================================================\n",
       "Omnibus:                        0.750   Durbin-Watson:                   1.881\n",
       "Prob(Omnibus):                  0.687   Jarque-Bera (JB):                0.823\n",
       "Skew:                           0.063   Prob(JB):                        0.663\n",
       "Kurtosis:                       2.601   Cond. No.                     1.28e+03\n",
       "==============================================================================\n",
       "\n",
       "Notes:\n",
       "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
       "[2] The condition number is large, 1.28e+03. This might indicate that there are\n",
       "strong multicollinearity or other numerical problems.\n",
       "\"\"\""
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 提取分析所需变量\n",
    "X = data[['Stay', 'Age', 'Xray']]  # 自变量：住院天数、年龄、X光检查量\n",
    "y = data['InfctRsk']               # 因变量：感染风险\n",
    "\n",
    "# 为自变量添加常数项（截距）\n",
    "X = sm.add_constant(X)\n",
    "\n",
    "# 构建多元线性回归模型\n",
    "model = sm.OLS(y, X).fit()\n",
    "\n",
    "# 打印模型摘要\n",
    "model.summary()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8263e47",
   "metadata": {},
   "source": [
    "### 可视化\n",
    "> 分析来看：感染风险和住院天数呈现轻微右上倾斜趋势，符合回归结果的正相关。感染风险和X光检查显示较明显的正相关趋势，点群向右上方延伸。感染风险和年龄点群分布杂乱，无明显趋势，印证年龄不显著。**总的来说**验证了回归分析结果，住院天数和X光检查与感染风险的存在正相关关系。但是年龄的影响确实不显著。需要注意的是右上角两个变量的轻微共线性趋势。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c68e1c9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制散点图矩阵\n",
    "sns.pairplot(data[['InfctRsk', 'Stay', 'Age', 'Xray']])\n",
    "plt.suptitle('变量间散点图矩阵', y=1.02)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "124331eb",
   "metadata": {},
   "source": [
    "### 相关性分析\n",
    "> 根据热力图：感染风险与住院天数相关性最强(r=0.53)，与X光检查中等相关(r=0.45)，而与患者年龄几乎无关(r=0.00)。但是住院天数与X光检查存在一定关联(r=0.38)，可能有多重共线性的问题。\n",
    "年龄与其他变量均无明显相关性(<0.2)。整体来看，住院天数是预测感染风险的最关键因素，X光检查次之，年龄没有预测价值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "10a4c7ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dxYABA8SxY8dEbm6uWLdunXjllVeETCYTcrlc+Pn5iWbNmomDBw+KyMhI4ezsLHx9fUX16tUNlgoVKohKlSoV2F6lShXh5ORUYFzOv2OYdu3apd/WpEkTo2OY+vTpoz/u0KFDok+fPsLW1lYEBwcXGIP1r23btomKFSsKAEKhUIjTp08b7P/uu+9EhQoV9Of89zi1Wl1gUSqVAoA4e/asyM3NFdWqVRPjx483OF/16tXFd999J4QQIiEhQXh7e4szZ87o9zdu3FisWrVKCCFEbm6u6Natm7CxsRHz588XOp2uQPw6nU5UqlRJVKpUSfTq1UucOHGiwDEqlcpokmlsWbZsWaE/LyKyTjIhnngdOxFhzZo12LJlC5o0aYLWrVvj1VdfLfSprfj4eBw8eBB///03kpOT9e9NKy55eXm4c+cOvLy8YGdnByC/W8/Ozg6urq5Ftg0LC8OIESMwadIkvPnmm0XOa5SVlYWNGzfi9u3bBeYkWr58OT755BMkJSXpx2AV9XqWf99VJ5PJEBMTA7VabfCy4tTUVIN37gkhDH5mubm5Bt2DWq0WN27cKPKdfE+2eZJcLseOHTvQtWtXo8c8LjAwEOPHj8f48eMlHU9ELz4mTET0wrt165ZB0klEZC4mTEREREQm8HXcREREVOYkJSXB398ft27dknT84cOHUbNmTZQvXx6hoaFmX48JExEREZUpiYmJ6Nq1q+RkKSEhAd27d0ffvn1x8uRJbNy4EYcOHTLrmkyYiIiIqEx5++238fbbb0s+fuPGjahYsSKmTZuGoKAgTJ8+HatWrTLrmkyYiIiIqMRpNBqkpqYaLBqNptBjV6xYgffff1/yucPCwtC2bVv9E7mNGzfG+fPnzYqvxGf63q2qXtIhUDFpeHFLSYdAxajv9JySDoGKydI5viUdAhWj2oFFv/rHkiz5N/vs1L4FXio+Y8YMzJw5s8CxVatWNevcqampqFWrln7d2dkZMTExZp2jxBMmIiIiopCQEEyYMMFgm1qtLpZzK5VKg3PZ2toiMzPTvHMUSyRERET0wpOpim9i3iep1epiS5Ce5O7ujoSEBP16WlpaoZMRF4VjmIiIiOiF1qhRI5w6dUq/fuHCBXh7e5t1DiZMREREJIlcKbPYUhxSU1Oh1WoLbO/evTuOHTuGQ4cOITc3FwsXLkSHDh3Mu/diiZCIiIiohAUHB2P37t0FtpcvXx6LFi1Chw4dULFiRYSHh+OTTz4x69wcw0RERESSyFSlq87y5NvdiprIcsyYMWjfvj0uX76MVq1aGbwEXAomTERERCRJcXWdlZTAwEAEBgY+VdvSlSoSERERlUKsMBEREZEklpxWoLRjhYmIiIjIBFaYiIiISJKyPobpWbDCRERERGQCK0xEREQkCccwEREREZFRrDARERGRJBzDRERERERGscJEREREksgU1lthYsJEREREksitOGFilxwRERGRCawwERERkSQyOStMRERERGQEK0xEREQkiUxhvXUW671zIiIiIolYYSIiIiJJ+JQcERERERnFChMRERFJYs1PyTFhIiIiIknYJUdERERERrHCRERERJJY87vkWGEiIiIiMoEVJiIiIpJEJrfeOov13jkRERGRRKwwERERkSTWPK2ARSpMGo3GEqclIiIiKhHPlDCtW7fOYF0IgVWrViEoKOiZgiIiIqLSR66QWWwp7Z6pS+7TTz9FbGwspkyZgh07diAkJAS2trZYtmxZccVHREREpYQ1d8k9U8J08uRJdOvWDStXroS9vT0+++wz/Oc//ymu2IiIiIhKhWdKmLy8vHD48GH07dsXQgh07dq1uOIiIiKiUsaapxUwO2Fq06YNZDLDklxeXh6OHTuG4OBgeHt7AwAOHjxYPBESERERlTCzE6YhQ4YUun3YsGHPGgsRERGVYhzDZIbBgwdbIg4iIiKiUuuZOiOTk5MxdepUAMCNGzfQo0cPdOvWDZcvXy6W4IiIiKj0sOZpBZ4pYerfvz/Cw8MBAOPGjYOLiwvKlSuH4cOHF0twRERERKXBMz0ld+TIEVy+fBnZ2dk4duwY4uPj8fDhQwQGBhZXfERERFRKcAzTU/Lw8MCpU6eQnZ2NunXrws7ODkeOHIGXl1dxxUdERESlBKcVeEqzZs1C//79YWNjgx9//BEnT57EG2+8gdDQ0OKKj4iIiKjEPVPCNGDAALzxxhtQKBSwtbXFgwcPcOHCBVSrVq244iMiIqJSwpq75J66tvbgwQPodDo4ODjA1tYWAODu7o5q1arhn3/+KbYAiYiIiEqa2QnTX3/9BV9fX3h4eMDT0xP79u0DAGRlZWH16tVo0qQJmjRpUuyBEhERUcmSyWUWW0o7sxOmDz/8EB07dsTt27fx3//+F++88w7Gjh2LChUqYNasWejZsyeio6MtESsRERFRiTB7DNP58+exfv16eHt7Y8KECZg6dSqioqKwadMmdO7cucB75oiIiOjFUBYqQZZidsKUlZWFcuXK6ddtbW3xzTffoEqVKsUaGFFZlZj0APfjE1DVtwrs7e1KOhwiIioGZidMQgj069cPKpUKAJCRkYGRI0fC3t7e4Ljt27cXT4SllMrdFa+e2oZTrw9CVnSMyePdWzRCnWWfwsbDHZHzv0HU4rWS9pFl3Yy+g3lfLUdMbBy6vt4Go4f0N1klnTJ7AU6ePa9fbxhcG6GzPgEA/PDLLqzf+jM8y5dDXEIC5kydjHq1a1n0HugRPx87fPxuVXhXsMXug/H49vs7JtvUremED9/xh6uzEht/vocfd9+XtI8s6/atm/h68TzcvxeD1zp0xaBhoyX3YOTm5mLy+BEYPvp91A6uDwCY8+kU/HXmpP6YOnUbYuYcToFjLs7DZIYZM2YYrNetW7fYgikrVOXc0OiX5bD3ryzpeJvybnj55+W4+eUa3PthFxpsDEXq35eRdPh0kfvIsnK0WoTMXoDG9etixqTx+Oq7ddhz4DA6t2tdZLtrkVFY89UX8CjnDgBQKhUAgDsx97Dl551Y//VClHN3w7oftmH1ph/x1ZwZRZ2OiolKKcOcj6vhbFgKZi2JxHtDfdGxdXns/TPRaBsXJyVmf1wNP+68jwPHEzH9gyBcv5WJC5dSi9xHlqXV5mDuZyGo16AxJnw8A6u++QqH/tiDtq93ltT+l58243Z0lMG2m5HX8OWyNShX3gMAoFA+06w6VqssvPPNUp45YbJGDTaG4t7W3+DWtL6k4yv16w5NbAIiP18GALg++//gM6w3kg6fLnIfWdbpvy4gIzMTY4cPhK1ajXcGvo3F364uMmGKT0yCgEBVX58C+/LydJg0diTKubsBAAL9fPHncX6Oz0vj+q5wsFfi/9bdhiZHh5Wb7+L94X5FJkztWpTHg2Qt1m/LrxKv/ykGndt64MKl1CL3kWWdP3camRkZGDJiLNS2tug/+B18t3yxpITpXsxd7Ni+BZ5eFfTbkhLjIYRAFb+qlgybXnDPVFtbsGABtFqtwbaDBw+idevWz3LaUu+fd6fh1tL1ko93Dq6OpD9P6dcfnv0HzvVqmdxHlnXjVjRqVQ+CrVoNAAjwq4Jbd+4W2ebK9RvQ6XToPWwMOvQZjE+/WIK09HQAgF+VynilcUMAQGZWNrbt3oeWzRpZ9iZIL8DXHhHX0qHJ0QEAbkRnwrdy0WPIAnzt8Xf4owTocmQ6gvwdTO4jy4qOuoGgGrWg/t8cf77+Abh7+5aktt9+vRBvvNkfHp6PEqbrV69Ap9PhnUG90a9XB4TO/xTpaWmWCP2Fx2kFnlJISAiysrIMttWqVQtnzpwp9HiNRoPU1FSDRSt0zxJCiciKKvqP6pOUTo7IfKxNbmo6bL29TO4jy8rIzEJFT0/9ukwmg1wu1ydAhbkTE4tqAf74YmYIvl00B/fjE7BiwxaDY06d+xu9hozGg4cPMfDNNywWPxlysFPgfoLGYJtOJ+DooDDexl6B2PhHbTKz8lDeXWVyH1lWZmYGvLwq6tf//d00leQc3P8bMjMy0L1XH4Pt92LuICCwGqbN+gILFn+L+Lj72Lh+hUVipxfXUyVMR44cwZEjRyCEwPHjx/Xrhw8fxpIlS4y+GmXu3LlwcXExWLbqHjzTDZQFIjcPupwc/XpetgYKe1uT+8iyFAo5VCrDXmkblQrZmhwjLYD+vXvgixkh8K/iAz8fb4wa3A+HTxh2u71cPxgLZkyBQq7AN2s3WiR2KihPJ6DVGv4DLCdHB1sb419zeXkC2lxdoccXtY8sSyFXQKkyTE5VNjbQaLKNtklJeYiNa7/DmPc/gkJh+Hvdq09/fPLZF6ji64/KVfwwcOgonDp22CKxv+hkcrnFltLuqUa9DR48GEB+1j969GjI/3ejcrkcQUFB2LBhQ6HtQkJCMGHCBINtB90bPk0IZYo2OQU25d3160onB+hytCb3kWU5Ozri5m3Dp6iysrOhMmMwqKODA1JS05Cj1cLmf1/wSoUCwbVqYPw7g/Hfz7/AuBGDizVuKlxqei78fQyf1rW3U0CbK4ps4+L86A+z3WPHF7WPLMvRyRm3o28abMvKyiqQRD1uzYqlaNu+M/wDgkye38HBEampKdBqc6BS2TxzvGQdniphiorKf/pALpfj4sWLcHZ2ltROrVZD/b/xIv9SyUp/VvmsHp67iEpvddGvO9etieyYOJP7yLJqBAVg1/5D+vXYuHjkaLVwcnQ02mb6vFC89UY3vFQ9/0v5yvUbcHdzhY1Khf2Hj+FB8kO81bMrAEChUOj/MUGWdzUyA13aPupi9fKwgUolR1p6rvE2NzLQ9pVH88oF+tkj8UGOyX1kWYHVauCP33fp1+PjYpGrzYGjo5PRNkf//AN2dvbYu/sXAEB2VhbmfhqC/7w1EDcir6JHr7dQrcZLAIDI61fg6ubOZOkplIWxRpbyTN/mHTp00M/HRPnVIVkh1Ym4nQfh/kpDlGvVBDKFAlUnDEPi/mMm95FlBb9UExmZmdh78AgAYNO2HWhYtw4UCjkyMjORm1vwD21VP198vWo9Iq5ex4mzf2HVpq3o2el1AIBvZW+s2fwTjpw8g9i4eKzZ/CNaN2/6XO/JmoVdToWDvQLtW5YHAPTrWQl/XUyBTuRXmhSFPA59/Fwy6tRwQr2XnCGXA291q4izYSkm95Fl1aodjMyMDPx5YC8A4OcfN6FOvYZQKBTIzMwo9Hdz+eotCF22GouWrsSipSsREFQd746fjA6du8PXryrWfPc1rl2JwLkzJ7B5wyp07NLzOd8VlXXPNBHFnj17iiuOF0KL8zsQMXEO4nYcMNiuTUrG5Y/mo/FvK6FNSUdeRib+GTnV5D6yLKVCgUlj3sGsRUvxzdqN0Ol0WDJnOgBg2PsfYdzwwWjR1PAptwG9eyAuIQETZ8yBm4szenR8Hf179wQAVAvwx4R3h2PZ6g1Iz8hEq+ZNMHb4wOd9W1ZLpwMWrYjCJ+MDMGpAFSjkwAczLwMAVn1RB1+vi8bxs8kGbVLTcrF8fTQWTK2OjMw8ZGfr8MU3N03uI8tSKJQY/d4kLP5iFtav/gY6nQ6fzVsCAJgwdhiGjhyHJs1aGLTxfGyQOADY2NjA1c0dDo5O6NVnABLi4/DZJxPh4uqGDp17oFef/s/tfl4k1lxhkgkhnrpT/t69exg3bhxGjBiBzp07o0GDBqhQoQJWr16NChUqmD4BgN2q6k97+TLHPqAKHGsE4MGRM8hNy5C8r6xoeHGL6YNKoYSkB7gaeRO1a1SDq4u07mVr0Hd62ex+Ku+mQvUAR4RfTUNKmvHuuMdV8lLDt7IdwiLSkJmVJ3lfWbF0jm9Jh/BUkhITcOP6VVSvVRsuLq4lHU6pUTtQ2t9XS7g9upfFzl3lm9L9hpBnqjC98847cHFxQb169QAAW7Zsweeff47Ro0fjl19+KYbwXiyZN24j88Zts/eRZXmUc9fP2k1lX2KyFonnkk0f+Jh7cRrci9OYvY8sq1x5D/3M3EQl7ZkSpqNHj+LKlSuoVKkSAKBatWr4/PPPUbt27WIJjoiIiEoPa+6Se6ZB3/7+/jhwwHC8zsGDB+HrWzbLv0RERESFeaYKU2hoKHr06IEtW7bAz88PUVFROHr0KH799dfiio+IiIhKibIwwaSlPNOdv/baa7h06RJeffVVAEDLli0RHh6Otm3bFktwRERERKWB2RWmmJgYuLq6wsEh/yWUvr6+CAkJKfbAiIiIqJSRcQyTZK+88gpu3syfi6Rz584FXr5LRERE9KIxu8IUHx+PihXzJwjbt29foTOuEhER0YvHmp+SMzthatSoEYYPH46GDRtCCIG5c+fC1ta2wHHTp08vlgCJiIiodLDmQd9mJ0ybNm3Cl19+iaioKMhkMkRHR8PGxvAFhjIr7uMkIiKiF4/ZCZO3tzcWLlwIAFi3bh2WL18OZ2e+ToKIiOhFZ81dcs9UW5s7dy7s7OyKKxYiIiKiUumZJq78+OOPiysOIiIiKuWseQzTM9359u3b4efnB4VCoV/kcjkUCkVxxUdERERU4p6pwvTuu+9iyJAhGDFiRIGB30RERPRiseYxTM+UMMlkMowcORIBAQHFFQ8RERFRqfNMXXKzZ8/Ge++9h8TExOKKh4iIiEopmVxmsaW0e6YK08aNG3Hp0iX4+vqiZs2aBtMLHDx48JmDIyIiolLEigd9P1PCNGTIkGIKg4iIiKj0eqaEafDgwcUVBxEREZVy1vwmD+utrRERERFJZHaFyc3NTVKG+eDBg6cKiIiIiEona5640uyE6ZdffrFAGERERESll9kJU6tWrSwRBxEREZVypeXx//DwcAwdOhSRkZEYMWIEFixYYLL364svvsDChQuRlZWF119/HStWrEC5cuUkX9N6a2tERERU5mg0GnTr1g0NGzbEuXPnEBERgbVr1xbZ5siRI1i3bh2OHDmC8+fPIzs7GxMnTjTrukyYiIiISBq53HKLRHv27EFKSgpCQ0MREBCAOXPmYNWqVUW2OXPmDDp37ozq1asjMDAQffv2xbVr18y7dbOOJiIiIrIAjUaD1NRUg0Wj0RQ4LiwsDE2bNoW9vT0AIDg4GBEREUWeu3bt2ti+fTtu3LiB+Ph4rFq1Cq+//rpZ8TFhIiIiIkks+WqUuXPnwsXFxWCZO3dugRhSU1Ph7+//KCaZDAqFAsnJyUbj7tixI4KCghAYGAgvLy9kZGRgypQpZt07EyYiIiKSRCaTW2wJCQlBSkqKwRISElIgBqVSCbVabbDN1tYWmZmZRuPeunUroqOjceXKFSQlJaF27doYMGCAWff+TDN9ExERERUHtVpdIBEqjLu7O8LDww22paWlwcbGxmibzZs3491330X16tUBAIsXL4aLiwsePnwIV1dXSfGxwkRERETSyGWWWyRq1KgRTp06pV+/desWNBoN3N3djbbJzc1FXFycfj02NhYAkJeXJ/m6rDARERFRmdGyZUukpKRg/fr1GDRoEObNm4d27dpBoVAgNTUVdnZ2UKlUBm1eeeUVhIaGonLlyrCzs8PixYvRrFkzs+ZhYsJEREREkpSGV6MolUqsWLEC/fr1w+TJk5GXl4fDhw8DyH9ibvHixejZs6dBmw8++AD37t3DrFmzkJiYiGbNmpmciqDAdYvrBoiIiIieh549e+L69es4d+4cmjdvDg8PDwD53XOFsbW1xVdffYWvvvrqqa/JhImIiIgkKS2vRgEAb29veHt7P7frlXxtjYiIiKiUY4WJiIiIpJFZb52FCRMRERFJUpq65J43600ViYiIiCRihYmIiIikKQXTCpQU671zIiIiIolYYSIiIiJJZDKOYSIiIiIiI1hhIiIiImk4homIiIiIjGGFiYiIiCSx5nmYmDARERGRNFY807f13jkRERGRRKwwERERkTRW3CXHChMRERGRCawwERERkSQyjmEiIiIiImNKvMLU8OKWkg6Bislfdd4u6RCoGLVYebGkQ6BikpCVV9Ih0IuCY5iIiIiIyJgSrzARERFR2SCz4lejMGEiIiIiaWTskiMiIiIiI1hhIiIiImmsuEvOeu+ciIiISCJWmIiIiEgajmEiIiIiImNYYSIiIiJJrHlaAeu9cyIiIiKJWGEiIiIiaaz45btMmIiIiEgavkuOiIiIiIxhhYmIiIgkkVlxl5z13jkRERGRRKwwERERkTQcw0RERERExrDCRERERNJwDBMRERERGcMKExEREUljxS/fZcJERERE0vBdckRERERkDCtMREREJA0HfRMRERGRMawwERERkTScuJKIiIiIjGGFiYiIiKThGCYiIiIiMoYVJiIiIpKGE1cSERERmcCJK4mIiIjIGFaYiIiISBor7pJjhYmIiIjIBFaYiIiISBpOK0BERERExrDCRERERNLwKTkiIiIiMoYVJiIiIpLGip+SY8JERERE0nDQNxEREREZwwoTERERSWPFXXKsMBERERGZwAoTERERScNpBYiIiIjIGFaYiIiISBLBMUzmSUtLK+44iIiIiEqtp0qYPD090atXL/zwww/IzMws7piIiIioNJLJLbeUck8V4cWLF9G8eXMsXboUFSpUwFtvvYXt27dDo9EUd3xEREREJe6pEqbAwEBMmjQJx44dQ2RkJJo3b44RI0bA09MTgwYNwrVr14o7TiIiIippVlxheupB3+np6di1axe2b9+O3377DTVq1MBbb70FjUaDLl264Pr168UZJxEREZUwDvo2U7du3eDp6YkFCxagfv36+Oeff3Du3DlMnjwZb7/9NuLj44s7zhdeYtIDhF++iszMrJIOhYiozHr4IB43rlxAdlZGSYdCL5inqjA1adIEoaGhCAoKKrAvMDAQKSkpzxxYaXYz+g7mfbUcMbFx6Pp6G4we0h8yE1n3lNkLcPLsef16w+DaCJ31CQDgh192Yf3Wn+FZvhziEhIwZ+pk1Ktdy6L3QI+o3F3x6qltOPX6IGRFx5g83r1FI9RZ9ilsPNwROf8bRC1eK2kfWZ6nqwxvvKKAu5MMf13X4fe/8iS1c3cCRnZRYd4WrcH2V1+So2E1BWxtgPBb+efT5loicnpSzO1IrF82HQn37+CV195Ar4Efmvye3b9jPfZs+w5u5SogKTEWYz5ejGovvQwA+P3Xtdi/Yz20ORrUDG6K/qOnwdHJ9TncyQumDHSdWcpT3fknn3xSaLKUk5PzzAGVdjlaLUJmL0D1gKpYsehz3LoTgz0HDptsdy0yCmu++gK7Nq7Cro2r8PnUSQCAOzH3sOXnnVj/9UKs+WoB3urZFas3/Wjp26D/UZVzQ6Nfv4G9f2VJx9uUd8PLPy9HzA+7cbzFW/Du2w3lWjUxuY8sTyEH+rdV4l6SwDe7tfB0laF+oOmvOFdHYMBrKtirDf8YNwiSo0lNBX46mouVe7SoXF6Gbk0VlgqfHqPV5uD/5o1Hlaq1EDJ/E2Lv3sTJQ78W2SbuXjT271iHGYu3Y1roj3i92yDs/GE5AOB6xF849edOTPxsNf67YDO0Wg1+WrfoedwKvUCeKmGKjY3F2LFj8frrr6Nt27Zo27Yt2rRpA19f3+KOr9Q5/dcFZGRmYuzwgfCuWAHvDHwbv/1xqMg28YlJEBCo6usDJ0cHODk6wM7WFgCQl6fDpLEjUc7dDQAQ6OeLtHSWkp+XBhtDcW/rb5KPr9SvOzSxCYj8fBkyI6Nxffb/wWdYb5P7yPKCvGVQ2wB7z+YhOQ3Yfz4PDSQkTANeU+Gv6wUrUfUC5Dh+KQ8xiQJJqcDBC3mo4WO9/7p+ni79fQxZmel4c8hEeFTwQc9+7+H4wV+KbJOXl4sBo6fDxc0DAFDZrxoy01MBAFHXw/FSg1dRwdsPnhWroNGrnRB/L9rSt/Fikskst5RyT/XbP2DAAMTFxcHOzg52dnZ48803cfXqVbz77rvFHV+pc+NWNGpVD4KtWg0ACPCrglt37hbZ5sr1G9DpdOg9bAw69BmMT79YgrT0dACAX5XKeKVxQwBAZlY2tu3eh5bNGln2Jkjvn3en4dbS9ZKPdw6ujqQ/T+nXH579B871apncR5ZXwV2GuwkC2v/lPnHJAh6upr+ENx7Q4tItXYHt9moZUjKEfl2I/IUs7+6ta/APqgMbtR0AwNu3GmLv3iyyTSWfAAS/3AoAkJ2ViUN7NqNek7b57asE4sLpg0i4fwepKQ9w/MDPqFm3qWVvgl44T5UwnTlzBsuWLcOkSZOQkpKCd999F6tWrcLevXuLO75SJyMzCxU9PfXrMpkMcrlcnwAV5k5MLKoF+OOLmSH4dtEc3I9PwIoNWwyOOXXub/QaMhoPHj7EwDffsFj8ZCgrquhk90lKJ0dkPtYmNzUdtt5eJveR5alVMiSnG2Y0QgC2NkW3Szbyq3v/gc6golQ/UI7IewUTKyp+2VkZKO/prV/P/55VION/FaOiXDx/FB+/0w6pD5PQ+T8jAAAv1X8FnhWqYNq4bvhoeFtoNFno0HOYxeJ/ocnllltKuaeKsFKlSvjjjz/QqFEjXLp0CVlZWahduzYuXrxYZDuNRoPU1FSDRVPGxj0pFHKoVIZj5W1UKmRrjN9H/9498MWMEPhX8YGfjzdGDe6HwydOGxzzcv1gLJgxBQq5At+s3WiR2OnZidw86B77bzYvWwOFva3JfWR5Oh2Q90TPWm4eoHrKyVP+OJ+HyuXlGN5RiTHdlKjjr8CZK0yYnge5XAGlyjDTValskKMx/RRxrbrN8N7UZVDIFdi2YTEA4NyJfUhKjMXMJb9g0ZrD8PYJxJqvploidHqBPVXCNHfuXIwYMQLp6eno2bMn6tSpgzZt2uCVV14x2c7FxcVgWbpi9VMFXlKcHR3xMNXwXzlZ2dlQKaV/Kzs6OCAlNQ052kdP5CgVCgTXqoHx7wzGnoOmB5FTydAmp8CmvLt+XenkAF2O1uQ+srysHIEn81MbVcEkSqqHGcDSX7X49WQuUjKAyHs6RMezT+55cHB0QXpqssG27KwMKJUqk20VCiUCa9ZHn2Ef6weKnz22F63av4kK3n5wcHLBm0Mn4+/TB5CZYbpiRYaETGaxpbR7qoSpV69euHfvHtzd3bFixQpMmzYNH374IX78seinu0JCQpCSkmKwvDeybJVFawQFIOJqpH49Ni4eOVotnBwdjbaZPi8Ul64+msjzyvUbcHdzhY1Khf2Hj+GHX3bp9ykUCsjLQGnSWj08dxGuTerq153r1kR2TJzJfWR5MYkCPh6PfndcHQClHMh6xiK2RgtUrSjDfolTFNCz8w18CTev/aNfT4yPQW6uFg6OLkbbnDn6G/bveDQeMf+7NP+pRl1eHlJTkvT7UpIT87frWDE0mxXP9P3UEbq5uUGhUEClUmHw4MEYO3YsnJycimyjVqvh7OxssKhtTAwwKGWCX6qJjMxM7D14BACwadsONKxbBwqFHBmZmcjNLThJS1U/X3y9aj0irl7HibN/YdWmrejZ6XUAgG9lb6zZ/BOOnDyD2Lh4rNn8I1o352DEkqZ0coCskKph3M6DcH+lIcq1agKZQoGqE4Yhcf8xk/vI8qLjBNQqoG7V/K+1FnUUuBkrIASgVgHyp/wHbKtgBS5F6xD7gNWl5yWoVgNkZ6bj1J87AQD7fl6DGnWaQK5QICszHXm5BSu3Fbz9sWvrN/j79EEkxsdg5w/L0aBZ/vdsQI16OLZ/G47s+xEn/9yBVV9+jKrVgjkPE5nlqRKmBQsWQKs1/A/24MGDaN26dXHEVKopFQpMGvMOQpevRM9Bo3D4xGmMGtQXADDs/Y9w8tzfBdoM6N0Dfj7emDhjDr5euR49Or6O/r17AgCqBfhjwrvDsWz1Boz4MAReHh4YO3zg87wlKkSL8zvg2blVge3apGRc/mg+Gv+2Eq/dOQanl4Jwfc5yk/vI8nQC2HEyF92aKfBRHxVq+crx+/n8qtCY7ipUq2x+xuTuBAT7y/HHeVaXnieFQon+o6dh44rPMXl4W5w/9QfeGDAeADBr4pu4eP5ogTZVqtZEv5FT8dO6hZgz+W24e1TEm0MmAgBe69IfL7/SEbu3rcDGb2bB1t4RQ8d//lzv6UUhZHKLLeYIDw9Ho0aN4ObmhsmTJ0OY8Qjr22+/jffee8/cW4dMmHOV/1EoFEhOToazs7N+2/3791G1alVkZmaada77VwomGGVBQtIDXI28ido1qsHVxdl0AyvwV523SzqE58Y+oAocawTgwZEzyE3LkLyvLDm9suiHOEorJ3vAu5wMt+MFMjUlHU3p0KZB2Uz4kpPiEH0jAgHV68LJxd10AyvRpo5diV07/dQOi53bsWl3ScdpNBrUqFEDHTp0wOTJkzF+/Hj07t0bQ4cONdl23759GDhwIK5duwZXV1ez4jPr+ZEjR/K7oYQQOH78OBwcHPTre/fuRbVq1cy6eFnmUc4dHuX4C2ytMm/cRuaN22bvI8tLywSuZLL77EXgVs4LbuU4NUepUgoGZ+/ZswcpKSkIDQ2Fvb095syZg7Fjx5pMmLKysjBmzBjMmzfP7GQJMDNhGjx4MID8OTFGjx6tH5wsl8sRFBSEDRs2mB0AERERkVRhYWFo2rQp7O3tAQDBwcGIiIgw2W7WrFnIysqCUqnEwYMH0aZNG5PvJ3ycWQlTVFQUgPwE6eLFiwZdckRERPRiM3eskTk0Gg00GsN+dLVaDfX/3qzxr9TUVPj7++vXZTKZfqiQm5tboee+ffs2QkND0bhxY9y+fRtLlixBlSpVsH37dslJ01PdeYcOHaBS5c+HcefOHYSHhxf6dBgRERGRFIXN1Th37twCxymVygJJlK2tbZFjqNeuXQsvLy/s378fn3zyCf78808cPnwY+/fvlxyf5ApTbGwsxo0bB5lMhj179gAAJk2ahNDQUKhUKlSqVAm//vorgoODJV+ciIiIyhALjmEKCQnBhAkTDLY9mRgBgLu7O8LDww22paWlwaaIaYru3r2L1157TX8+JycnBAUF6XvOpJBcYRo8eDCEEJg2bRoAYMOGDVi+fDkOHTqE7OxsDBw48Kke0yMiIqIywoITVxY6V2MhCVOjRo1w6tSjF53funULGo0G7u7GH8Ty8fFBVtajV+vodDrcvXsXvr6+km9dcsJ06tQpLF26FHXr1kVubi5mzJiBjz/+GK1atdIPAv/777I5RQARERGVDS1btkRKSgrWr8+f2X3evHlo164dFAoFUlNTC8wTCQB9+vTBzp07sW3bNty9exchISHQaDQmX+n2OMkJU7Vq1XDgwAEAwOeff47k5GR8+OGH+v1Hjx5FxYoVJV+YiIiIypbS8C45pVKJFStWYPTo0fDy8sJPP/2EefPmAch/Ym737t0F2lSvXh0//PADZs+ejaCgIOzevRu//vqryTeUGFxX6oHLli1Dz549MWrUKMhkMnz//fdwcnLCzZs3MWLECJw8eRJr1qyRfGEiIiKip9GzZ09cv34d586dQ/PmzeHh4QEgv3vOmC5duqBLly5PfU3JCVOTJk1w8+ZNXL58GT4+Pvrg7Ozs0L17d3z11VeoXbv2UwdCREREpVwpekmut7c3vL29n9v1zJqHyc7ODg0aNDDYVrFiRXzwwQfFGRMRERFRqWJWwkRERETWS6DkX41SUkpPbY2IiIiolGKFiYiIiCSx5KtRSjsmTERERCSNFSdM1nvnRERERBKxwkRERESSmDPB5IuGFSYiIiIiE1hhIiIiIkmsedC39d45ERERkUSsMBEREZE0HMNERERERMawwkRERESSWPMYJiZMREREJAnfJUdERERERrHCRERERJJYc5ec9d45ERERkUSsMBEREZE0nFaAiIiIiIxhhYmIiIgkEVZcZ7HeOyciIiKSiBUmIiIikkRY8RgmJkxEREQkCacVICIiIiKjWGEiIiIiSfhqFCIiIiIyihUmIiIikoRjmIiIiIjIKFaYiIiISBJrnlaAFSYiIiIiE1hhIiIiIkms+Sk5JkxEREQkCQd9ExEREZFRrDARERGRJNbcJccKExEREZEJrDARERGRJBzDRERERERGscJEREREknAMExEREREZxQoTERERSWLNY5iYMBEREZEk7JIjIiIiIqNKvMLUd3pOSYdAxaTFyoslHQIVoyYj6pR0CFRMpnVcUdIhUDE6trNViV1byFhhIiIiIiIjSrzCRERERGWDEKwwEREREZERrDARERGRJMKK6yzWe+dEREREErHCRERERJJY8zxMTJiIiIhIEmtOmNglR0RERGQCK0xEREQkCStMRERERGQUK0xEREQkCStMRERERGQUK0xEREQkCV+NQkRERERGscJEREREknAMExEREREZxQoTERERSWLNFSYmTERERCSJNSdM7JIjIiIiMoEVJiIiIpKE0woQERERkVGsMBEREZEkOo5hIiIiIiJjWGEiIiIiSfiUHBEREREZxQoTERERSWLNT8kxYSIiIiJJ2CVHREREREaxwkRERESSWHOXHCtMRERERCawwkRERESScAwTERERERnFChMRERFJwjFMRERERGQUK0xEREQkia6kAyhBTJiIiIhIEnbJEREREZUR4eHhaNSoEdzc3DB58mQIISS31Wq1qFOnDv7880+zrsmEiYiIiCQRkFlskUqj0aBbt25o2LAhzp07h4iICKxdu1Zy+wULFiA8PNzse2fCRERERGXGnj17kJKSgtDQUAQEBGDOnDlYtWqVpLbXr1/HwoUL4efnZ/Z1OYaJiIiIJLHkGCaNRgONRmOwTa1WQ61WG2wLCwtD06ZNYW9vDwAIDg5GRESEpGuMGjUKU6ZMwZ49e8yOjxUmIiIiKnFz586Fi4uLwTJ37twCx6WmpsLf31+/LpPJoFAokJycXOT516xZg5SUFEycOPGp4mOFiYiIiCSx5KtRQkJCMGHCBINtT1aXAECpVBbYbmtri8zMTLi5uRV67oSEBISEhGDv3r1QKp8u9WHCRERERCWusO63wri7uxcYtJ2WlgYbGxujbT744AMMHz4c9erVe+r42CVHREREkuiE5RapGjVqhFOnTunXb926BY1GA3d3d6NtNm3ahKVLl8LV1RWurq44duwYunbtinnz5km+LitMREREJIklu+SkatmyJVJSUrB+/XoMGjQI8+bNQ7t27aBQKJCamgo7OzuoVCqDNlFRUQbrb7/9Nj744AN07NhR8nWZMBEREVGZoVQqsWLFCvTr1w+TJ09GXl4eDh8+DCD/ibnFixejZ8+eBm2enEbA1tYWFSpUgKurq/TrPmPcREREZCVKy6tRevbsievXr+PcuXNo3rw5PDw8AOR3z0lh7izfABMmIiIiKoO8vb3h7e393K7HhImIiIgkMeOVbS8cPiVHREREZILZCZNWq8WcOXPQpEkTeHt749KlS2jcuDFu3LhhifiIiIiolNBBZrGltDM7YRozZgy2bduG4cOHIy0tDfb29mjatClGjRplifiIiIiISpzZCdNPP/2En376CSNHjoRCoYBCocCECRNw+vRpS8RXKvn52GH5nJewY3VDjBrgI6lN3ZpOWBsajF9WNsCbXSpI3keW5ekqw6guSoS8rUL7hgrJ7dydgClvqwpsf/UlOd5/Q4WP31KhSxMFVBwl+Nyp3F3R5toB2PlKGwzq3qIRWv3zG16PPQX/D4ZI3kfPj38Ve3wXWh97NjfHmKFVJberV9sF3//fy9i1sTne6lHZYF/3DhXxy7qm+PPnFgj9rA7KuRmfJZoeEUJmsaW0Mzth8vHxwZEjRwy2RUZGGrwI70WmUsow5+NquBaVgdEh4fCrbIeOrcsX2cbFSYnZH1fDweNJGPvJJbRrUR71XnI2uY8sSyEH+rdV4l6SwDe7tfB0laF+oOlfCVdHYMBrKtirDX/BGwTJ0aSmAj8dzcXKPVpULi9Dt6bSkzB6dqpybmj06zew969s+mAANuXd8PLPyxHzw24cb/EWvPt2Q7lWTUzuo+dHpZRh/vTauBqZjuEfnoefjz06v+Zlsp2rswrzPqmNP44kYPSkv9G+tSfq13EFAATXcsaI/n6YHXoFb444DRuVHGOHSU/ErJkQlltKO7MTpgULFmDUqFFo3rw5MjMzMWnSJAwcOBALFy60RHylTuP6rnCwV+L/1t3GvTgNVm6+i85tPYts065FeTxI1mL9thjE3Ndg/U8x6NzWw+Q+sqwgbxnUNsDes3lITgP2n89DAwkJ04DXVPjrel6B7fUC5Dh+KQ8xiQJJqcDBC3mo4cPnKp6nBhtDcW/rb5KPr9SvOzSxCYj8fBkyI6Nxffb/wWdYb5P76Plp+rI7HO2VWLrqBu7dz8aK9VHo2r6iyXavt/ZEUnIO1m6Jxt3YLKzZEo2ur+dX8H287bFw+XWcC3uIhKQc/PbHfdQIdLL0rVAZZ/a3eceOHREREYEuXbroX2R34sQJtG/f3hLxlToBvvaIuJYOTY4OAHAjOhO+le1Mtvk7PFW/fjkyHUH+Dib3kWVVcJfhboKA9n+5T1yygIer6bLwxgNaXLqlK7DdXi1DSsajfyaVlX81vUj+eXcabi1dL/l45+DqSPrz0TupHp79B871apncR89PoJ8jLl1NhUaT/zsXeSsDfj72ptv5O+L8P8n69cvX0lAtwBEAsHv/fRw5majfV6WyPe7GZhVz5C8mAZnFltLO7BEWy5Ytw4ABAzB16tQC+9LT0+Ho6Gi0rUajgUajMdimy8uBXFF2+o4d7BS4n/DEPegEHB0USM8oWHUAAAd7BaLvPvplzMzKQ3l3lcl9ZFlqlQzJ6YYZjRCArQ2QnWO8XXI64FpITnv/gQ41fOS4fDv/v4P6gXJE3iuYWJHlZEXdNet4pZMjHkY8esI3NzUdtt5eJvdR8Zsz9SXUr+1aYLtOJ3DgaLzBtjydgJODEmkZuUbP52CvwK3bGfr1jMxceJRTFzjO2UmJHh0r4rNFV54+eLIKZidMX3/9NRo1aoSoqCjUqlULderUAQC8++67WLduHUJDQzF69OhC286dOxeffvqpwTbfWsPh/9I7TxF6ycjTCWi1hn8Ec3J0sLWRG02Y8vIEtLm6Aseb2keWpdMBT35iuXmASll0wmTMH+fzMLCdCsM7yqBWARXc5Vi1R1sssZJliNw86HIefdh52Roo7G1N7qPi98Wya1AX8t33ZvfKBSq1OTk6qNVypGUUOFwv/7v1UcMcrQ626oLnn/huEC5eTsXJcw+eOnZrorPiqrnZf5k7d+6M9u3bY8mSJWjbti0mT54MAFi/fj12796NJUuWGG0bEhKClJQUg8W3xuCnj74EpKbnwsXZsAJkb6cw+MU01cbuseOL2keWlZUj8OTfPxsVkFd43mvSwwxg6a9a/HoyFykZQOQ9HaLj+VmWZtrkFNiUd9evK50coMvRmtxHxS/5oRb34zUFlgfJOXB1efI7V4lcE9+TqWm5cH3su7Ww7+ku7Sqg7ksumPvV1eK7EXphmZ0wbdiwAceOHcOJEydw9epVLF26FHfv3oVWq0XdunVx8+ZNo23VajWcnZ0NlrLUHQcAVyMzUCvoUbejl4cNVCo50tKNl4av3jBsE+hnj8QHOSb3kWXFJAr4eDz6FXB1AJRyIOsZf/waLVC1ogz7/3rKzIuem4fnLsK1SV39unPdmsiOiTO5j56fy9fT8FL1RwOyK3iqYaOSITW96OT1yvU0vFT90RPHQf6OSEx6NJyiZpATxr8TgJlfXEbyQybCUnFaATN4eXnht99+Q2RkJHbv3g07OzukpqbCxcUFWVlZsLMregB0WRd2ORUO9gq0b5k/lUC/npXw18UU6ET+v2AUioIf+vFzyahTwwn1XnKGXA681a0izoalmNxHlhUdJ6BWAXWr5v8atKijwM1YASEAtQqQP+Xvb6tgBS5F6xD7gNWl0kLp5ACZsuAIhLidB+H+SkOUa9UEMoUCVScMQ+L+Yyb30fMTFv4QjvZKdGyTP35sQO8qOBf2ELr/jWQw9r177Ewigms5o34dVyjkwNu9fHD6fP4gcDdXFeZPq42N2+7gamQa7GzlsLPlUAgqmtljmDZt2oTRo0fj008/RWBgIDp16oT27dujSpUqGDFiBF5++WVLxFlq6HTAohVR+GR8AEYNqAKFHPhg5mUAwKov6uDrddE4fjbZoE1qWi6Wr4/GgqnVkZGZh+xsHb745qbJfWRZOgHsOJmL3i2V6PCyAjIZsHpffqVwTHcV9pzJxZU75iU97k5AsL8cX//Kf7GWJi3O70DExDmI23HAYLs2KRmXP5qPxr+thDYlHXkZmfhn5FST++j5ydMBC5Zdw4xJNTFmaFXIFTK8F3JBv3/d0pfx1cpIHD2VZNAuJTUXX6++idBP6yA9MxfZ2TrM+1/XW7uWnnB3s8HIgf4YOfDRHIKvdjv8XO6pLLPmJ39lQjzb7Wu1WmzYsAFXr15F9erV0bZtW/j5+Ulu36ZP2ZwhvLybCtUDHBF+NQ0paca74x5XyUsN38p2CItIQ2ZWnuR9ZUWLLvVLOoSn4mQPeJeT4Xa8QKbG9PHWosmIOiUdwnNjH1AFjjUC8ODIGeQ+MZK4qH1lxdyOK0o6hGdW3t0GNYKcEH45FQ9Tpf+DxLuiLfwqO+Dv8Idl9rv1Scd2tiqxa+86L+3v3dPo2qB0vxrhqaILDw/H77//jv379+Po0aPQarVo1qwZ5s+fX9zxlVqJyVoknks2feBj7sVpcC+u8L/IRe0jy0rLBK5kWvE/mwiZN24j88Zts/fR85P4IAfHTieZPvAJMbHZiInNtkBEZG0kJUz379/H/v379UtycjLq16+Pv//+GytXrsQbb7wBBwdOtkhERPQis+YuOUkJU6VKlSCTydC6dWusWrUK7dq1g42NDdzc3NCyZUsmS0RERPRCk5QwPV5d6tGjB6pVq4amTZtCo9EgPj4eVapUsXScREREVMLKwuP/liLpOcrXXnsN8+bNw19//YXY2Fh88sknEEKgXLlyaNKkCapXr44xY8ZYOlYiIiKiEmH2oO/y5cujb9++6Nu3LwDg8uXL2LdvH/74449iD46IiIhKD2t+NcozP8NXs2ZN1KxZEx988EExhENERERU+pTuSQ+IiIio1OBTckREREQmCHDQNxEREREZwQoTERERSWLNg75ZYSIiIiIygRUmIiIiksSaB32zwkRERERkAitMREREJAkrTERERERkFCtMREREJInOil++y4SJiIiIJGGXHBEREREZxQoTERERScIKExEREREZxQoTERERScJXoxARERGRUawwERERkSTCiqcVYIWJiIiIyARWmIiIiEgSPiVHREREREaxwkRERESSWPNTckyYiIiISBJ2yRERERGRUawwERERkSSsMBERERGRUawwERERkSTWPOibFSYiIiIiE1hhIiIiIkk4homIiIiIjGKFiYiIiCTR6Uo6gpLDhImIiIgkYZccERERERnFChMRERFJwgoTERERERnFChMRERFJwokriYiIiMgoVpiIiIhIEmHRQUwyC5772bHCRERERGQCK0xEREQkiTU/JceEiYiIiCSx5pm+2SVHREREZAIrTERERCSJNXfJscJEREREZAIrTERERCQJJ64kIiIiIqNKvMK0dI5vSYdAxSQhK6+kQ6BiNK3jipIOgYpJyN6RJR0CFaurJXZljmEiIiIiIqNKvMJEREREZYOw6CCm0v1qFCZMREREJAkHfRMRERGRUawwERERkSQc9E1ERERERrHCRERERJLorHgQEytMRERERCawwkRERESScAwTERERERnFChMRERFJwgoTERERkQk6ISy2mCM8PByNGjWCm5sbJk+eDCGh/YoVK1CxYkWoVCq0b98esbGxZl2TCRMRERGVGRqNBt26dUPDhg1x7tw5REREYO3atUW2OXbsGKZNm4YNGzYgKioK2dnZmDRpklnXZcJEREREkgid5Rap9uzZg5SUFISGhiIgIABz5szBqlWrimxz9epVLF++HO3atUPlypUxdOhQnDt3zqx75xgmIiIiKnEajQYajcZgm1qthlqtNtgWFhaGpk2bwt7eHgAQHByMiIiIIs89fPhwg/WrV68iMDDQrPhYYSIiIiJJhBAWW+bOnQsXFxeDZe7cuQViSE1Nhb+/v35dJpNBoVAgOTlZ0j0kJSXh22+/xZgxY8y6d1aYiIiIqMSFhIRgwoQJBtuerC4BgFKpLLDd1tYWmZmZcHNzM3mdMWPGoHnz5ujSpYtZ8TFhIiIiIkl0Zow1Mldh3W+FcXd3R3h4uMG2tLQ02NjYmGy7evVqHDlyBBcuXDA7PnbJERERUZnRqFEjnDp1Sr9+69YtaDQauLu7F9nuzJkz+OCDD7BlyxZ4eXmZfV0mTERERCSJJccwSdWyZUukpKRg/fr1AIB58+ahXbt2UCgUSE1NhVarLdAmLi4O3bp1w8cff4yGDRsiPT0d6enpZt07EyYiIiKSRCcst0ilVCqxYsUKjB49Gl5eXvjpp58wb948APlPzO3evbtAm82bNyM+Ph6ffPIJnJyc9Is5OIaJiIiIypSePXvi+vXrOHfuHJo3bw4PDw8A+d1zhfnggw/wwQcfPNM1mTARERGRJMKcUpCFeXt7w9vb+7ldj11yRERERCawwkRERESSmPmO3BcKK0xEREREJrDCRERERJLoStEYpueNFSYiIiIiE1hhIiIiIknMmWDyRcOEiYiIiCQRFnyXXGnHLjkiIiIiE1hhIiIiIkl0VtwlxwoTERERkQmsMBEREZEk1jzomxUmIiIiIhNYYSIiIiJJOHElERERERnFChMRERFJYsVDmJgwERERkTSCXXJEREREZAwrTERERCQJJ64kIiIiIqNYYSIiIiJJOIaJiIiIiIxihYmIiIgkYYXJDNeuXbNEHERERESlltkJU926ddGgQQPMnz8fUVFRloiJiIiISiGdsNxS2pmdMCUmJuK///0vLl68iIYNG6JJkyb48ssvcffuXUvER0RERFTizE6YHBwc0Lt3b3z//feIj4/HiBEj8Nlnn8HPzw8tW7bEiRMnLBEnERERlTChExZbSrunGvR9/fp1bNu2Ddu3b8elS5fQqVMnvPXWW8jMzETv3r1x79694o6TiIiISpiw4okrzU6Y6tSpgxs3bqBDhw748MMP0b17dzg4OAAAoqKi4OHhUexBEpU2Dx/EIyn+Hrx9g2Br51DS4RARkYWZnTB9/PHH6NGjB5ycnArs8/f3R1hYWLEEVprdvnUTXy+eh/v3YvBah64YNGw0ZDKZpLa5ubmYPH4Eho9+H7WD6wMA5nw6BX+dOak/pk7dhpg5J9QisZOhmNuRWL9sOhLu38Err72BXgM/NPlZ7t+xHnu2fQe3chWQlBiLMR8vRrWXXgYA/P7rWuzfsR7aHA1qBjdF/9HT4Ojk+hzuhB7nX8Ue//2gOipXtMPO3+/j/9bclNSuXm0XTBoTBFcXG2zYehs//PpobGb3DhUxrJ8vXJ1VOH/xIT7/8iqSknMsdQsEQOXuildPbcOp1wchKzrG5PHuLRqhzrJPYePhjsj53yBq8VpJ+0g6XRnoOrMUs8cwDRgwoNBkKSEhoVgCKu202hzM/SwEAYHVsWDJCty9fQuH/tgjuf0vP23G7WjDpwtvRl7Dl8vWYP0Pu7D+h12YMv3z4g6bCqHV5uD/5o1Hlaq1EDJ/E2Lv3sTJQ78W2SbuXjT271iHGYu3Y1roj3i92yDs/GE5AOB6xF849edOTPxsNf67YDO0Wg1+WrfoedwKPUallGH+9Nq4GpmO4R+eh5+PPTq/5mWynauzCvM+qY0/jiRg9KS/0b61J+rXcQUABNdyxoj+fpgdegVvjjgNG5UcY4dVtfCdWDdVOTc0+vUb2PtXlnS8TXk3vPzzcsT8sBvHW7wF777dUK5VE5P7iKQyO2GKiIhAly5dEBQUhKpVq6Jq1arw9/dH5crS/qMu686fO43MjAwMGTEWFSp6o//gd3Dg998ktb0Xcxc7tm+Bp1cF/bakxHgIIVDFryocHJ3g4OgEW1s7S4VPj7n09zFkZabjzSET4VHBBz37vYfjB38psk1eXi4GjJ4OF7f8rufKftWQmZ4KAIi6Ho6XGryKCt5+8KxYBY1e7YT4e9GWvg16QtOX3eFor8TSVTdw7342VqyPQtf2FU22e721J5KSc7B2SzTuxmZhzZZodH09/3fVx9seC5dfx7mwh0hIysFvf9xHjcCC/3Ck4tNgYyjubZX23QoAlfp1hyY2AZGfL0NmZDSuz/4/+AzrbXIfmUcIYbGltDM7YRo6dCiCgoLQsmVLNGzYEMuWLYOtrS3mzZtnifhKneioGwiqUQtqW1sAgK9/AO7eviWp7bdfL8Qbb/aHh+ejhOn61SvQ6XR4Z1Bv9OvVAaHzP0V6WpolQqcn3L11Df5BdWCjzk9QvX2rIfZu0V03lXwCEPxyKwBAdlYmDu3ZjHpN2ua3rxKIC6cPIuH+HaSmPMDxAz+jZt2mlr0JKiDQzxGXrqZCo9EBACJvZcDPx950O39HnP8nWb9++VoaqgU4AgB277+PIycT9fuqVLbH3disYo6cHvfPu9Nwa+l6ycc7B1dH0p+n9OsPz/4D53q1TO4jksrsMUzh4eHYuXMnoqKi8N5776FTp05wdnbGmDFj8OGHH1oixlIlMzMDXl6P/rUqk8kgl8uRnpYGx0K6Kv91cP9vyMzIQPdeffD3X6f12+/F3EFAYDUMGj4GcpkMXy+ej43rV2DU2IkWvQ8CsrMyUN7TW7+e/1kqkJGeCgdH5yLbXjx/FCtDP0Y5z0ro/J8RAICX6r8CzwpVMG1cNwCAb+BL6NBzmOVuwMrNmfoS6td2LbBdpxM4cDTeYFueTsDJQYm0jFyj53OwV+DW7Qz9ekZmLjzKqQsc5+ykRI+OFfHZoitPHzyZlBVl3tx+SidHPIy4oV/PTU2HrbeXyX1knrLw+L+lmF1hqlatGlavXo26devixo0bSExMhKenp6RZvzUaDVJTUw2WHI3mqQIvKQq5AkqVymCbysYGGk220TYpKQ+xce13GPP+R1AoDHPUXn3645PPvkAVX39UruKHgUNH4dSxwxaJnQzJ5QooVTYG21QqG+RoTFcOatVthvemLoNCrsC2DYsBAOdO7ENSYixmLvkFi9YchrdPINZ8NdUSoROAL5Zdw9D3zxVY9h6KQ47W8Es9J0cHtbror7u8PAFt7qN2OVodbAtpM/HdIFy8nIqT5x4Uz41QsRC5edDlPBqEn5etgcLe1uQ+IqnMTpi++uorLF68GKmpqRg+fDiqVq2Kl19+GT169DDZdu7cuXBxcTFYVn679KkCLymOTs5ITXlosC0rK6tAEvW4NSuWom37zvAPCDJ5fgcHR6SmpkCr5dM3lubg6IL01GSDbdlZGVAqjX+W/1IolAisWR99hn2sHyh+9thetGr/Jip4+8HByQVvDp2Mv08fQGZGqkXit3bJD7W4H68psDxIzoGri+FnaG+nRG5u0f8yTk3Lhavzo3b2dgqDBAoAurSrgLovuWDuV1eL70aoWGiTU2BT3l2/rnRygC5Ha3IfmYcTV5qhRYsWiI2NBQAsWLAAXbp0QXp6Ojp27GiybUhICCZMmGCwLfJOspGjS6fAajXwx++79OvxcbHI1ebA0dF4d9zRP/+AnZ099u7+BQCQnZWFuZ+G4D9vDcSNyKvo0estVKvxEgAg8voVuLq5Q/VE5YOKn2/gSzh2YLt+PTE+Brm5Wjg4uhhtc+bob0hJTsTr3QcBABQKBeRyBQBAl5eH1JQk/bEpyfljXnQ6nSXCJyMuX09D1/aPxglW8FTDRiVDanrRfyCvXE9Du5ae+vUgf0ckJj2qgNcMcsL4dwLw8axwJD/kH9vS5uG5i6j0Vhf9unPdmsiOiTO5j8yjKwODsy3lqWb6fnyemlatWklup1aroVYbjgmwUWc+TQglplbtYGRmZODPA3vR+rWO+PnHTahTryEUCgUyMzNgY6OGUmn4Y12+eovBeuj8z9C1R2/Ub9gYu3dsw5rvvsbQd95DaupDbN6wCh279HyOd2S9gmo1QHZmOk79uRNNW3fDvp/XoEadJpArFMjKTIeNjRqKJ6pNFbz9sfHb2SjvVRk+/tWx84flaNDsdQBAQI16OLBzA9zcvaBSq3Fw10ZUrRbMeZies7Dwh3C0V6JjGy/sPRSHAb2r4FzYQ/ybt9rbKaDJ0SEvz/CL/9iZREwYHYj6dVzxz6WHeLuXD06fz/8HnZurCvOn1cbGbXdwNTINdrb5xfmsbCbDz5vSyQF5WRqIXMPxaHE7D6L2V9NRrlUTPDh2DlUnDEPi/mMm9xFJZXbC9H//93/o2bMnKlWqZIl4Sj2FQonR703C4i9mYf3qb6DT6fDZvCUAgAljh2HoyHFo0qyFQRtPL8NHmm1sbODq5g4HRyf06jMACfFx+OyTiXBxdUOHzj3Qq0//53Y/1kyhUKL/6GlYtfi/2LbhS+h0Okz8bCUAYNbEN9Fn6GTUa9zWoE2VqjXRb+RU/LRuIbIy0lC/aTu8OSR/gP5rXfoj5UECdm9bgYzUh/CvFoxBY2Y+79uyenk6YMGya5gxqSbGDK0KuUKG90Iu6PevW/oyvloZiaOnkgzapaTm4uvVNxH6aR2kZ+YiO1uHef/remvX0hPubjYYOdAfIwf669u82o3jDZ+3Fud3IGLiHMTtOGCwXZuUjMsfzUfj31ZCm5KOvIxM/DNyqsl9ZJ6y0HVmKTJh5uQHNWrUwOLFiyV1wUkRHnm/WM7zvCUlJuDG9auoXqs2XFxcSzqcUiEhy3hXVmmWnBSH6BsRCKheF04u7qYbWIlp/z1T0iE8k/LuNqgR5ITwy6l4mCq9C827oi38Kjvg7/CHyMzKs2CEz0/I3pElHcJzYx9QBY41AvDgyBnkpmVI3leWdNGW3Bi6wdMt9zd73WcVTB9UgsyuME2bNg2zZ8/Gq6++CkdHR0vEVCaUK++BcuX53rwXgVs5L7iV4yPGL5rEBzk4djrJ9IFPiInNRkys8adeqXTLvHEbmTdum72PpCkLE0xaitkJU2RkJHQ6HYKCgjBo0CD9i3cBYPr06cUaHBEREVFpYHbCdOvWLVSvXh3Vq1dHfPyjyeGkvnyWiIiIyiZrfvmupIQpPT1d3/22Zs2aQo/5448/ii8qIiIiolJE0sSVPj4+mDlzJh48KDiz7a5du9C0aVP06tWr2IMjIiKi0sOaJ66UlDBt3rwZZ86cgb+/PyZPnoyYmBj89NNPqFevHkaNGoWePXvi9m0OpCMiInqRCSEstpR2krrkOnbsiI4dO+Ly5cvo06cPQkNDAQCzZs3C5MmToSritSBEREREZZ2kClNaWhqWLFmC7t27QyaTYdWqVRg2bBjmzp2Ld955B//884+l4yQiIqISJnQ6iy2lnaSEydvbG5s2bcLChQvxzz//YMiQIfjuu+9w5coVODk5oVmzZmjfvr2lYyUiIiIqEZISpp9++gmnT59Gjx49DLZ7e3tj6dKluHnzJurXr2+RAImIiKh00OmExZbSTlLCZKp65OXlhfnz5xdLQERERESljdkTVxIREZF1KgtPs1mKpAoTERERkTVjhYmIiIgkKQsTTFoKEyYiIiKSxJoTJnbJEREREZnAChMRERFJohOlf4JJS2GFiYiIiMgEVpiIiIhIEo5hIiIiIiKjWGEiIiIiSVhhIiIiIiKjWGEiIiIiSaz51ShMmIiIiEgSnY7TChARERGREawwERERkSQc9E1ERERERrHCRERERJIIvhqFiIiIiIxhhYmIiIgk4RgmIiIiIjKKFSYiIiKSxJorTEyYiIiISBIdB30TERERkTGsMBEREZEk1twlxwoTERERkQmsMBEREZEkgi/fJSIiIiJjWGEiIiIiSTiGiYiIiKiMCA8PR6NGjeDm5obJkydDCNOJ3OHDh1GzZk2UL18eoaGhZl+TCRMRERFJIoTOYotUGo0G3bp1Q8OGDXHu3DlERERg7dq1RbZJSEhA9+7d0bdvX5w8eRIbN27EoUOHzLp3JkxEREQkiU4nLLZItWfPHqSkpCA0NBQBAQGYM2cOVq1aVWSbjRs3omLFipg2bRqCgoIwffp0k22exISJiIiIyoywsDA0bdoU9vb2AIDg4GBERESYbNO2bVvIZDIAQOPGjXH+/HmzrstB30RERCSJJacV0Gg00Gg0BtvUajXUarXBttTUVPj7++vXZTIZFAoFkpOT4ebmVui5U1NTUatWLf26s7MzYmJizIqPFSYiIiIqcXPnzoWLi4vBMnfu3ALHKZXKAkmUra0tMjMzjZ77yTamji/0HGYdTURERFbLktMKhISEYMKECQbbnkyMAMDd3R3h4eEG29LS0mBjY2P03O7u7khISJB8fGFYYSIiIqISp1ar4ezsbLAUljA1atQIp06d0q/funULGo0G7u7uRs/9ZJsLFy7A29vbrPiYMBEREZEkpWFagZYtWyIlJQXr168HAMybNw/t2rWDQqFAamoqtFptgTbdu3fHsWPHcOjQIeTm5mLhwoXo0KGDWffOLjkiIiIqM5RKJVasWIF+/fph8uTJyMvLw+HDhwHkPzG3ePFi9OzZ06BN+fLlsWjRInTo0AEuLi5wcHAwe1oBJkxEREQkSWl5NUrPnj1x/fp1nDt3Ds2bN4eHhweA/O45Y8aMGYP27dvj8uXLaNWqFZydnc26JhMmIiIiksSS0wqYy9vb2+xxSIGBgQgMDHyq63EMExEREZEJMiHljXX01DQaDebOnYuQkJBCR/tT2cLP88XBz/LFws+TLI0Jk4WlpqbCxcUFKSkpZveXUunDz/PFwc/yxcLPkyyNXXJEREREJjBhIiIiIjKBCRMRERGRCUyYLEytVmPGjBkchPiC4Of54uBn+WLh50mWxkHfRERERCawwkRERERkAhMmIiIiIhOYMBERERGZYPUJ059//glXV1ez2ty9exctW7aEnZ0dqlSpgjt37jz19WfOnAmZTAaZTAYHBwe0aNEC586dM9lu7dq1aN269VNflx45ffo0GjZsCCcnJ7Rr1w4xMTElHRIVkwMHDkAmk+HevXslHQqZYd++fXByckJKSgoAYO/evXB1dUVqamoJR0bWzOoTpqfx5ZdfwsXFBbdu3cLOnTslJ1x+fn74888/C2zv3LkzkpOTcfHiRdSsWRO9evUq3oDJqMzMTPTo0QPjxo1DREQEnJycMG7cOP1+Y58ZlQ2///47AGD//v0lHAmZo0OHDqhRowZWr14NAFiyZAnee+89zuBNJYoJ01NISkpCw4YN4eXlhbp168LJyemZzqdSqeDq6oqqVati+vTpuHPnDhITE4spWirK5cuXkZycjKFDh8LHxwczZsyATCYr6bComOzfvx+tW7dmwlQGTZ06FV9//TUiIiJw7NgxvP/++yUdElk5JkxP+Ler67vvvoOXlxc8PT3x008/AQDmzZsHmUyGdevW4dNPP4VMJkPHjh31bQ8cOIDg4GA4OTmhU6dOuHv3LgCgY8eOkMlkiI6ORps2bSCTyTBv3rwC1xZCYOvWrXBzc9NXrb7//nv4+fnBwcEBnTp1QlJSUoF2cXFx8Pf3x5o1ayzwE3mx+fj4QCaTYebMmdBqtahXrx62b99u8jPbvn07qlWrBgcHB7Rp00bfjTdr1ix07dpVf1xkZCRsbW31XQv0/CQkJCAsLAwTJ07EH3/8gX9nUPnnn39Qu3ZtlC9fHhMmTECNGjWwdOlSAPldP3Xq1IGrqytGjBgBjUZTkrdg1Xr06AF7e3v06dMH77zzDsqXLw8AGDJkCGbOnInvv/8e1atXx9dff61vc/ToUdSrVw/29vZo1KgRwsPDAQAbNmxA7dq19celp6fD1tYWV65ceb43RWWbsHKHDh0SLi4u+vU1a9aI8uXLiw4dOohr166JyZMnCx8fHyGEENnZ2SI5OVn07dtXfPzxxyI5OVmkp6cLIYSIiooS9vb2Ys2aNeLOnTvi7bffFj169BBCCJGeni6Sk5OFj4+P2Llzp0hOThbZ2dlCCCFmzJghlEqlcHFxEWq1Wnh7e4vdu3cLIYRIS0sTSqVSbN68Wdy6dUt07dpVTJkyRR9nq1atREZGhnj55ZfF7Nmzn9NP7MXz448/ChcXF+Hr6yvWrVsnhCj6M0tKShI2NjZi3bp14t69e6JXr15i9OjRQgghrl69KtRqtUhJSRFCCLFgwQL9fwf0fG3cuFHUqFFDZGVlCRsbGxEWFiaEEKJZs2Zizpw5IiwsTDg7O4sTJ06IBw8eiMjISGFjYyNWrVolIiMjRb169cSsWbNK+C6s2+rVqwUAcfv2bf22wYMHi6ZNm4pmzZqJXbt2iTt37gghhMjLyxOenp5i9uzZIjY2VowfP1507NhRCCFESkqKUKvV4sqVK0IIIbZu3Srq1q373O+HyjZWmAqRnp6OdevWISgoCCNGjNAP6lar1XB1dYWNjQ1sbW3h6uoKBwcHAMCmTZvQsmVLDBkyBJUrV8YXX3yBESNGAAAcHBzg6uoKuVwOR0dHuLq6GsxG26ZNG1y4cAGtW7dGt27d0LlzZwCAQqGASqWCRqOBp6cnduzYgc8//1zfTqfToW/fvkhKSsLUqVOf14/nhdO7d29ER0djyJAhGDVqFCZMmFDkZ+bk5ITbt2+jd+/euH79OnJycnDt2jUAQLVq1VCjRg3s2rULAPDLL7/grbfeKrF7s2b79+9H06ZNYWtri/r16+vHM124cAH/+c9/EBwcjFq1auHWrVtwc3PD5s2bUb9+fQwbNgwBAQEYPXo0duzYUcJ3Yd1OnDgBADh58qTB9ps3b2LPnj3o0qULKleurN8eFhaGCRMmIDo6GmlpafrfS2dnZ3Ts2BHbtm0DwN9LejpMmApRs2ZNeHl5AQBsbGwktbl79y78/Pz065UrVzbomimKvb09/Pz8MG7cOGzcuBEZGRkAADs7O/z4449YsWIFPDw80LFjR9y8eVPf7tixY9DpdLC3t8evv/4q8e7ocffu3cONGzfg4uKCmTNnYs+ePfjyyy8RHR1ttI0QAlOmTEGlSpUwZcoU5ObmIi8vT7+/T58+2L59O+Li4hAWFoZu3bo9j1uhJ+zfvx+bN2+Gq6srzp8/rx/HFBgYiJMnT+LBgwe4fv06atWqBQCIiYnB+fPn4erqCldXV0ycOBG3b98uyVuwanfv3sXmzZsxa9YsfP755/ouVQAYNGgQXFxcDI6Xy+UIDQ2Ft7c3xo4di5SUlEJ/L7VaLX777Tf06dPnud0LvRiYMBXiaZ7E8PHxQVRUlH792rVrqF+/PnQ6nX6bXC43+KV/UufOneHu7o7NmzcDyB9c7ubmhuPHjyMuLg6enp748MMP9ccHBARg69atmDlzJkJCQgy+HEiaH374QV8JBICWLVtCpVLpxxwV9plt2rQJhw8fxt27d3HixIkCCdFbb72FPXv2YPPmzejUqRMcHR0tfyNkICIiAjExMTh8+DAuXLiAVatW4ejRo9BoNHjppZcwfvx4VKhQAYMGDULdunUB5P8jp3v37rhw4QIuXLiAsLAwDhYvQfPnz8cbb7yBjz76CAkJCdi5c6d+37+V/cf9+eefWL58OS5fvoxz585h+PDhBvu7d++OiIgIrFmzBoGBgQgICLD4PdCLhQlTMenbty+OHj2KtWvX4s6dO5g9ezY8PT0hlz/6EQcGBmLv3r2IjY3FgQMHCpxDLpdj5MiRWLFiBQAgMTERr732Gvbu3YvU1FTI5XKDBMzb2xt2dnb4z3/+A7VazUHfT6Fdu3Y4ceIENm/ejJiYGMycORMVK1ZEjRo1ABT+maWnpwMAHjx4gD179mDWrFkGSVVAQABq1KiBmTNnsuxfQn7//XcEBgaiSZMm8PPzwxtvvIHc3Fx8//33OHLkCI4fP44bN24gNDRU3+bf3+Hr168DyH+UfejQoSV1C1YtLi4Oq1atwoQJE2BjY4P33nvPYDhCYf79vUxJScHx48cxYcIEg99LR0dHdOrUCR999BF/L+nplOQAqtKgsEHfrVq10q9HRUWJJ39MgwcPFjNmzChwrv3794s6deoIJycn0a1bNxETE2OwPywsTAQHBwu1Wi1atGghhMgf9P34oOD79+8LGxsb8ffffwshhFi2bJnw8/MTtra2okmTJiI8PLzQOH/99Vfh7e0tMjMzzf8hWLmNGzeKoKAg4eDgIF599VX9z16Iwj+zlJQU0b59e2Fvby+aNGkiZsyYITw9PUVWVpa+3fz584WjoyM/jxLSuXNnMXLkSINtLVq0EJMmTRL169cX7u7uQqFQCFtbWzFq1Cj9MXv27BG1a9cW9vb2ok2bNuLatWvPO3QSQkyePFm0bdtWv/7gwQPh4OAg9u3bZ/T7V6vVin79+gkHBwdRu3ZtsXDhQqFUKsX9+/f1x/zwww9CJpOJ6Ojo53Eb9IKRCVFEHxERmS0yMhKbN2/G1atX8f3335d0OPSYVatWYevWrVi5ciXs7e0RFhaGzp07Iz4+npMivuBu3ryJo0eP4rvvvsOxY8dKOhwqg5QlHQDRi6ZBgwbw8PDA7t27SzoUekLbtm2xadMm1K5dG1lZWfD398eiRYuYLFmBnj17Ij4+Hj/++GNJh0JlFCtMRERERCZw0DcRERGRCUyYiIiIiExgwkRERERkAhMmIiIiIhOYMBERERGZwISJiIiIyAQmTEREREQmMGEiIiIiMoEJExEREZEJ/w92Ecs1/oRHaAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 计算相关系数矩阵\n",
    "correlation = data[['InfctRsk', 'Stay', 'Age', 'Xray']].corr()\n",
    "\n",
    "# 绘制热力图\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.heatmap(correlation, annot=True, cmap='coolwarm', fmt='.2f', square=True)\n",
    "plt.title('变量相关性热力图')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12fd67f0",
   "metadata": {},
   "source": [
    "### 多重共线性检验\n",
    "- VIF > 5：存在较强多重共线性\n",
    "- VIF > 10：严重多重共线性，需处理\n",
    "\n",
    "> 根据结果可知 均不存在严重多重共线性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "752dbe62",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "多重共线性检验 (VIF):\n",
      "     变量       VIF\n",
      "0  Stay  1.226650\n",
      "1   Age  1.047573\n",
      "2  Xray  1.183293\n"
     ]
    }
   ],
   "source": [
    "# 计算方差膨胀因子(VIF)，检测多重共线性\n",
    "vif_data = pd.DataFrame()\n",
    "vif_data[\"变量\"] = X.columns[1:]  # 跳过常数项\n",
    "vif_data[\"VIF\"] = [variance_inflation_factor(X.values, i+1) for i in range(len(X.columns)-1)]\n",
    "\n",
    "print(\"\\n多重共线性检验 (VIF):\")\n",
    "print(vif_data)\n",
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20c6424a",
   "metadata": {},
   "source": [
    "### 残差分析\n",
    "> 从残差分析结果来看，残差正态性检验的统计量p=0.9037,大于常用显著性水平（如0.05），表明残差服从正态分布，满足多元线性回归关于残差正态性的假设."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4e27e73c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "残差正态性检验: W=0.9939, p=0.9037\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 获取残差\n",
    "residuals = model.resid\n",
    "\n",
    "# 残差正态性检验 (Shapiro-Wilk)\n",
    "shapiro_test = stats.shapiro(residuals)\n",
    "print(f\"\\n残差正态性检验: W={shapiro_test[0]:.4f}, p={shapiro_test[1]:.4f}\")\n",
    "\n",
    "# 残差图可视化\n",
    "fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n",
    "\n",
    "# 残差-拟合值散点图（检验同方差性）\n",
    "sns.scatterplot(x=model.fittedvalues, y=residuals, ax=axes[0])\n",
    "axes[0].axhline(y=0, color='r', linestyle='--')\n",
    "axes[0].set_title('残差 vs 拟合值')\n",
    "axes[0].set_xlabel('拟合值')\n",
    "axes[0].set_ylabel('残差')\n",
    "\n",
    "# 残差正态QQ图（检验正态性）\n",
    "stats.probplot(residuals, dist=\"norm\", plot=axes[1])\n",
    "axes[1].set_title('残差正态QQ图')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6b3a749",
   "metadata": {},
   "source": [
    "### 预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d72f86a2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "预测感染风险: 6.2876\n"
     ]
    }
   ],
   "source": [
    "# 预测新数据点的感染风险\n",
    "new_data = pd.DataFrame({\n",
    "    'const': [1],           # 常数项\n",
    "    'Stay': [8.5],          # 住院天数\n",
    "    'Age': [55],            # 年龄\n",
    "    'Xray': [200]           # X光检查量\n",
    "})\n",
    "\n",
    "# 预测并打印结果\n",
    "predicted_risk = model.predict(new_data)\n",
    "print(f\"\\n预测感染风险: {predicted_risk[0]:.4f}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
